\( \frac{1}{10} \) of a pole is coloured red, \( \frac{1}{20} \) is white, \( \frac{1}{30} \) is blue, \( \frac{1}{40} \) is black and the rest is green. If the length of the green portion of the pole is 4.75 m, then the length of the pole is:
If x =\(\frac{\sqrt{3}+1}{\sqrt{3}-1}\) and y = \(\frac{\sqrt{3}-1}{\sqrt{3}+1}\), then the value of x² + y² is:
If sin A + sin B = x and cos A + cos B = y, then cos(A - B) = ?
\(\frac{x^2+y^2+2}{2}\)
\(\frac{x^2-y^2+2}{2}\)
\(\frac{x^2-y^2-2}{2}\)
\(\frac{x^2+y^2-2}{2}\)